In the homework assignment, there is a problem that states: Sketch the graph of the exponential family y=A*2^x for the values A = -3 to 3.

My question is, how does someone sketch a graph without knowing the x or y value in addition to knowing the value of A?

The brief answer is that you plug in various values of x for each function.
For example the A = 2 function is y = 2 * 2^x. Plug in x = -2, -1, 0, 1, 2 and you get a pretty good picture of the function.
For the longer answer, which includes pictures I can't post at your access site, go to the page where notes are posted and check out the link 'questions prior to 050914 class' before class, on the 050914 link then to questions if it's after class has met.